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Local Well-Posedness of a Two-Component Novikov System in Critical Besov Spaces

Author

Listed:
  • Min Guo

    (School of Sciences, Nantong University, Nantong 226007, China)

  • Fang Wang

    (School of Sciences, Nantong University, Nantong 226007, China)

  • Shengqi Yu

    (School of Sciences, Nantong University, Nantong 226007, China)

Abstract

In this paper, we establish the local well-posedness for a two-component Novikov system in the sense of Hadamard in critical Besov spaces B p , 1 1 + 1 p ( R ) × B p , 1 1 + 1 p ( R ) , 1 ≤ p < ∞ . We first provide a uniform bound for the approximate solutions constructed by iterative scheme, then we show the convergence and regularity; afterwards, based on the Lagrangian coordinate transformation techniques, we prove the uniqueness result; finally, we show that the the solution map is continuous.

Suggested Citation

  • Min Guo & Fang Wang & Shengqi Yu, 2022. "Local Well-Posedness of a Two-Component Novikov System in Critical Besov Spaces," Mathematics, MDPI, vol. 10(7), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1126-:d:785101
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